Mathematical Constants

Euler's constantEulerGamma is given by the limit . It appears in many integrals, and asymptotic formulas. It is sometimes known as the Euler–Mascheroni constant, and denoted .

Catalan's constantCatalan is given by the sum . It often appears in asymptotic estimates of combinatorial functions. It is variously denoted by , , or .

Khinchin's constantKhinchin (sometimes called Khintchine's constant) is given by . It gives the geometric mean of the terms in the continued fraction representation for a typical real number.

Glaisher's constantGlaisher (sometimes called the Glaisher–Kinkelin constant) satisfies , where is the Riemann zeta function. It appears in various sums and integrals, particularly those involving gamma and zeta functions.